49290960 has 80 divisors (see below), whose sum is σ = 155436480. Its totient is φ = 12921472.

The previous prime is 49290949. The next prime is 49290991. The reversal of 49290960 is 6909294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835411 + ... + 835469.

It is an arithmetic number, because the mean of its divisors is an integer number (1942956).

Almost surely, 2^49290960 is an apocalyptic number.

49290960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77718240).

49290960 is an abundant number, since it is smaller than the sum of its proper divisors (106145520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49290960 is an frugal number, since it uses more digits than its factorization.

49290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 49290960 is about 7020.7520964637. The cubic root of 49290960 is about 366.6534357026.

The spelling of 49290960 in words is "forty-nine million, two hundred ninety thousand, nine hundred sixty".